Porous Medium Equation with Absorption
Catherine Bandle, Tokumori Nanbu, Ivar Stakgold · SIAM Journal on Mathematical Analysis · 1998
We study the approach to the steady state for the porous medium equation with absorption under positive, time-independent, Dirichlet boundary conditions. Special attention is given to the case where the solution of the steady-state problem vanishes in an interior region (known as a dead core.) The results are compared to those for the heat equation with absorption.